% LaTeX bibliography database for Dakota Users Manual
%
% - entries arranged in short cite order (XxxNN)
% - commented numbers preceding each entry indicate entry in old bibitem format
%   from v3.3 users manual
%
% $Id: Users.bib 6770 2010-05-08 00:10:50Z briadam $

@Book{abram_stegun,
  author =	 {Abramowitz, M. and Stegun, I.~A.},
  title = 	 {Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables},
  publisher = 	 {Dover},
  address =      {New York},
  year = 	 1965
}

%1
@Article{Ale98,
  author = {Alexandrov, M. and {Dennis, Jr.}, J.~E. and Lewis, R.~M. and Torczon, V.},
  title = {A Trust-region Framework for Managing the Use of Approximation Models in Optimization},
  journal = {Structural Optimization},
  volume = 15,
  year = 1998,
  pages = {16--23}
}

@InProceedings{Ale00,
  author = 	{Alexandrov, N.~M. and Lewis, R.~M. and Gumbert, C.~R. and Green, L.~L. and Newman, P.~A.},
  title = 	{Optimization with Variable-Fidelity Models Applied to Wing Design},
  booktitle =   {Proceedings of the 38th Aerospace Sciences Meeting and Exhibit},
  year = 	{2000},
  address = 	{Reno, NV},
  note = 	{AIAA Paper 2000-0841},
}

@Article{All04,
  author = 	 {Allen, M. and Maute, K.},
  title = 	 {Reliability-based Design Optimization of Aeroelastic Structures},
  journal = 	 {Struct. Multidiscip. O.},
  year = 	 2004,
  volume =	 27,
  pages =	 {228--242}
}

@Article{AgaAlu09,
  author = 	 {Agarwal, N. and Aluru, N.R.},
  title = 	 {A domain adaptive stochastic collocation approach for analysis of {MEMS} under uncertainties},
  journal = 	 {Journal of Computational Physics},
  year = 	 2009,
  volume =	 228,
  pages =	 {7662--7688}
}

%2
@Book{And86,
  author = {Anderson, G. and Anderson, P.},
  title = {The UNIX C Shell Field Guide},
  publisher = {Prentice-Hall},
  address = {Englewood Cliffs, NJ},
  year = 1986
}

%3
@Book{Aro89,
  author = {Arora, J.~S.},
  title = {Introduction to Optimum Design},
  publisher = {McGraw-Hill},
  address = {New York},
  year = 1989
}

@InProceedings{askey,
  author = 	 {Askey, R. and Wilson, J.},
  title = 	 {Some Basic Hypergeometric Polynomials that Generalize Jacobi Polynomials},
  booktitle = 	 {Mem. Amer. Math. Soc. 319},
  organization = {AMS},
  year =	 1985,
  address =	 {Providence, RI}
}

%4
@PhdThesis{Bar01a,
  author = {Bartlett, R.},
  title = {Object-Oriented Approaches to Large-Scale NonLinear Programming For Process Systems Engineering},
  school = {Carnegie Mellon University},
  address = {Pittsburgh, PA},
  year =  2001
}

%5
@Article{Bar01b,
  author = {Bartlett, R.~A. and Biegler, L.~T.},
  title = {{rSQP++}: An Object-Oriented Framework for Successive Quadratic Programming},
  journal = {Large-Scale PDE-Constrained Optimization, Springer-Verlag Lecture Notes in Computational Science and Engineering},
  number = 30,
  year = 2003,
  pages = {316--330}
}


@article{Ber08,
  title={The Dagum family of isotropic correlation functions},
  author={Berg, C. and Mateu, J. and Porcu, E.},
  journal={Bernoulli},
  volume={14},
  number={4},
  pages={1134--1149},
  year={2008},
  publisher={Bernoulli Society for Mathematical Statistics and Probability}
}


@Article{BerTref04,
  author = {Berrut, J.-P. and Trefethen, L.~N.},
  title = {Barycentric Lagrange Interpolation},
  journal = {SIAM Review},
  volume = {46},
  number = 3,
  year = 2004,
  pages = {501--517}
}


@Article{Bic07,
  author = {Bichon, B.~J. and Eldred, M.~S. and Swiler, L.~P. and Mahadevan, S. and McFarland, J.~M.},
  title = {Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions},
  journal = {AIAA Journal},
  volume = {46},
  number = 10,
  year = 2008,
  pages = {2459--2468}
}

%6
@PhdThesis{Bir00,
  author = {Biros, G.},
  title = {Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization},
  school = {Carnegie Mellon University},
  address = {Pittsburgh, PA},
  year =  2000
}

%7
@Book{Bli96,
  author = {Blinn, B.},
  title = {Portable Shell Programming: An Extensive Collection of Bourne Shell Examples},
  publisher = {Prentice Hall PTR},
  address = {New Jersey},
  year = 1996
}

@Article{Box64,
  author = {Box, G.~E.~P. and Cox, D.~R.},
  title = {An Analysis of Transformations},
  journal = {J. Royal Stat. Soc., Series B},
  volume = 26,
  year = 1964,
  pages = {211--252}
}

@Article{Bre84,
  author = {Breitung, K.},
  title = {Asymptotic approximation for multinormal integrals},
  journal = {J. Eng. Mech., ASCE},
  volume = 110,
  number = 3,
  year = 1984,
  pages = {357--366}
}

@TechReport{Burk09,
  author = {Burkardt, J.},
  title = {The ``Combining Coefficient'' for Anisotropic Sparse Grids},
  institution =  {Virginia Tech},
  year = 	 2009,
  address =	 {Blacksburg, VA},
  note = {\url{http://people.sc.fsu.edu/~burkardt/presentations/sgmga_coefficient.pdf}}
}

@TechReport{Burk11,
  author = {Burkardt, J.},
  title = {Computing the Hermite Interpolation Polynomial},
  institution =  {Florida State University},
  year = 	 2009,
  address =	 {Gainesville, FL},
  note = {\url{http://people.sc.fsu.edu/~jburkardt/presentations/hermite_interpolant.pdf}}
}
% number =       {},

%8
@Article{Byr88,
  author = {Byrd, R.~H. and Schnabel, R.~B. and Schultz, G.~A.},
  title = {Parallel Quasi-Newton Methods for Unconstrained Optimization},
  journal = {Mathematical Programming},
  volume = 42,
  year = 1988,
  pages = {273--306}
}

@InCollection{Cel85,
  author = 	{M.~R. Celis and J.~.E. Dennis and R.~.A Tapia},
  title = 	{A Trust Region Strategy for Nonlinear Equality Constrained Optimization},
  booktitle = 	{Numerical Optimization 1984},
  pages = 	{71--82},
  publisher =   {SIAM},
  year = 	{1985},
  editor = 	{P.~.T. Boggs and R.~H. Byrd and R.~B. Schnabel},
  address = 	{Philadelphia, USA},
}

%9
@Article{Cha93,
  author = {Chang, K.~J. and Haftka, R.~T. and Giles, G.~L. and Kao, P.-J.},
  title = {Sensitivity-based scaling for approximating structural response},
  journal = {J. Aircraft},
  volume = 30,
  year = 1993,
  pages = {283--288}
}

@Article{Che83,
  author = {Chen, X. and Lind, N.C.},
  title = {Fast Probability Integration by Three-Parameter Normal Tail Approximation},
  journal = {Struct. Saf.},
  volume = 1,
  year = 1983,
  pages = {269--276}
}

%75
@Book{Coe02,
  author = {Coello, C.~A. and Van Veldhuizen, D.~A. and Lamont, G.~B.},
  title = {Evolutionary Algorithms for Solving Multi-Objective Problems},
  publisher = {Kluwer Academic/Plenum Publishers},
  address = {New York},
  year = 2002
}

@Book{Con00,
  author = 	{Conn, A.~R. and Gould, N.~I.~M. and Toint, P.~L.},
  title = 	{Trust-Region Methods},
  publisher = 	{{MPS-SIAM} Series on Optimization, {SIAM-MPS}},
  year = 	{2000},
  address = 	{Philadelphia},
}

@Article{ConstTPQ,
  author = 	 {Constantine, P.~G. and Gleich, D.~F. and Iaccarino, G.},
  title = 	 {Spectral Methods for Parameterized Matrix Equations},
  journal = 	 {SIAM Journal on Matrix Analysis and Applications},
  volume = 	 {31},
  number =       {5},
  year =         {2010},
  pages =	 {2681--2699}
}

% number =       {},
@Article{ConstSSG,
  author = 	 {Constantine, P.~G. and Eldred, M.~S. and Phipps, E.~T.},
  title = 	 {Sparse Pseudospectral Approximation Method},
  journal = 	 {Computer Methods in Applied Mechanics and Engineering},
  volume = 	 {229--232},
  year =         {2012},
  pages =	 {1--12}
}

%10
@Book{Cop92,
  author = {Coplien, J.~O.},
  title = {Advanced C++ Programming Styles and Idioms},
  publisher = {Addison-Wesley},
  address = {Reading, MA},
  year= 1992
}

%11
@Book{Cre91,
  author = {Cressie, N.},
  title = {Statistics of Spatial Data},
  publisher = {John Wiley and Sons},
  address = {New York},
  year = 1991
}


@article{Dav97,
  title={Six factors which affect the condition number of matrices associated with kriging},
  author={Davis, G.J. and Morris, M.D.},
  journal={Mathematical geology},
  volume={29},
  number={5},
  pages={669--683},
  year={1997},
  publisher={Springer}
}


%12
@InProceedings{Den94a,
  author = {Dennis, J.~E. and Lewis, R.~M.},
  title = {Problem Formulations and Other Optimization Issues in Multidisciplinary Optimization},
  booktitle = {Proc. AIAA Symposium on Fluid Dynamics},
  year = 1994,
  month = {June},
  address = {Colorado Springs, Colordao},
  number = {AIAA-94-2196},
}

%13
@InProceedings{Den94b,
  author = {Dennis, J.~E. and Torczon, V.~J.},
  title = {Derivative-Free Pattern Search Methods for Multidisciplinary Design Problems},
  number = {AIAA-94-4349},
  booktitle = {Proc. 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Panama City, FL},
  month = {September 7--9},
  year = 1994,
  pages = {922--932}
}

@article{Den81,
   author = {Dennis, J.~E. and Gay, D.~M. and Welsch, R.~E.},
   title = {{ALGORITHM} 573:  {NL2SOL}--An Adaptive Nonlinear Least-Squares Algorithm},
   journal = {ACM Trans. Math. Software},
   volume = {7},
   pages = {369--383},
   year = {1981}
}

%14
@Article{Der86,
  author = {Der Kiureghian, A. and Liu, P.~L.},
  title = {Structural Reliability Under Incomplete Information},
  journal = {J. Eng. Mech., ASCE},
  volume = 112,
  number = {EM-1},
  year = 1986,
  pages = {85--104}
}

@Article{Dey98,
  author = {Dey, A. and Mahadevan, S.},
  title = {Ductile Structural System Reliability Analysis using Adaptive Importance Sampling},
  journal = {Structural Safety},
  volume = 20,
  year = 1998,
  pages = {137--154}
}

@Article{Du04,
  author = 	 {Du, X. and Chen, W.},
  title = 	 {Sequential Optimization and Reliability Assessment Method for Efficient
Probabilistic Design},
  journal = 	 {J. Mech. Design},
  year = 	 2004,
  volume =	 126,
  pages =	 {225--233}
}

%73
@Article{Du99,
  author = {Du, Q. and Faber, V. and Gunzburger, M.},
  title = {Centroidal Voronoi Tessellations: Applications and Algorithms},
  journal = {SIAM Review},
  volume = 41,
  year = 1999,
  pages = {637--676}
}


@inproceedings{Dwi09,
  title={Efficient uncertainty quantification using gradient-enhanced kriging},
  author={Dwight, R.P. and Han, Z.},
  booktitle={11th AIAA Non-Deterministic Approaches Conference}, 
  organization={American Institute of Aeronautics and Astronautics},
  month={May},
  year={2009},
  location={Palm Springs, California},
  address={Reston, VA, USA}
}

%15
@InProceedings{Eck97,
  author = {Eckstein, J. and Hart, W.~E. and Phillips, C.~A.},
  title = {Resource management in a parallel mixed integer programming package},
  booktitle = {Proc. 1997 Intel Supercomputer Users Group Conference},
  address = {Albuquerque, NM},
  year = 1997,
  month = {June 11--13},
  note =  {\url{http://www.cs.sandia.gov/ISUG97/program.html}}
}

%16
@InCollection{Eck01,
  author = {Eckstein, J. and Hart, W.~E. and Phillips, C.~A.},
  title = {{PICO}: An object-oriented framework for parallel branch and bound},
  booktitle = {Inherently Parallel Algorithms in Feasibility and Optimization and their Applications},
  editor = {Butnariu, D. and Censor, Y. and Reich, S.},
  publisher = {Elsevier Science Publishers},
  address = {Amsterdam, Netherlands},
  year = 2001
}

@Misc{Eclipse,
  title = {Eclipse.org home},
  howpublished = {http://www.eclipse.org/},
  note = {Last accessed: July 6, 2009}
}

%24
@InProceedings{Eld96a,
  author = {Eldred, M.~S. and Hart, W.~E. and Bohnhoff, W.~J. and Romero,
  V.~J. and Hutchinson, S.~A. and Salinger, A.~G.},
  title = {Utilizing Object-Oriented Design to Build Advanced Optimization Strategies with Generic Implementation},
  number = {AIAA-96-4164},
  booktitle = {Proc. 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Bellevue, WA},
  month = {September 4--6},
  year = 1996,
  pages = {1568--1582}
}

%25
@Article{Eld96b,
  author = {Eldred, M.~S. and Outka, D.~E. and Bohnhoff, W.~J. and
  Witkowski, W.~R. and Romero, V.~J. and Ponslet, E.~R. and Chen, K.~S.},
  title = {Optimization of Complex Mechanics Simulations with Object-Oriented Software Design},
  journal = {Computer Modeling and Simulation in Engineering},
  volume  = 1,
  number = 3,
  month = {August},
  year = 1996
}

%cited to establish precidence, that GP subset selection was in DAKOTA before Ren09
@TECHREPORT{UserMan4_1,
  title={DAKOTA version 4.1 users manual},
author={Eldred, M.S. and Adams, B.M. and Gay, D.M. and Swiler, L.P. and Haskell, K. and Bohnhoff, W.J. and Eddy, J.P. and Hart, W.E. and Watson, J.P and Griffin, J.D. and Hough, P.D. and Kolda, T.G. and Williams, P.J. and Martinez-Canales, M.L.},
  institution={Sandia National Laboratories},
  address={Albuquerque, NM},
  type={Sandia Technical Report},
  number={SAND2006-6337},
  year={2007},
  url={http://dakota.sandia.gov/licensing/release/Users4.1.pdf}
}

%21
@InProceedings{Eld98a,
  author = {Eldred, M.~S. and Hart, W.~E.},
  title = {Design and Implementation of Multilevel Parallel Optimization on the {Intel TeraFLOPS}},
  number = {AIAA-98-4707},
  booktitle = {Proc. 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {St. Louis, MO},
  month = {September 2--4},
  year = 1998,
  pages = {44--54}
}

%23
@TechReport{Eld98b,
  author = {Eldred, M.~S.},
  title = {Optimization Strategies for Complex Engineering Applications},
  institution =  {Sandia National Laboratories},
  number =       {SAND98-0340},
  year = 	 1998,
  address =	 {Albuquerque, NM}
}

%20
@InProceedings{Eld99,
  author = {Eldred, M.~S. and Schimel, B.~D.},
  title = {Extended Parallelism Models for Optimization on Massively Parallel Computers},
  booktitle = {Proc. 3rd World Congress of Structural and Multidisciplinary Optimization (WCSMO-3)},
  number = {16-POM-2},
  address = {Amherst, NY},
  month = {May 17--21},
  year = 1999
}

%22
@InProceedings{Eld00,
  author = {Eldred, M.~S. and Hart, W.~E. and Schimel, B.~D. and {van
  Bloemen Waanders}, B.~G.},
  title = {Multilevel Parallelism for Optimization on {MP} Computers: Theory and Experiment},
  number = {AIAA-2000-4818},
  booktitle = {Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Long Beach, CA},
  year = 2000
}

%19
@InProceedings{Eld02,
  author = 	 {Eldred, M.~S. and Giunta, A.~A. and {Wojtkiewicz Jr.}, S.~F. and Trucano, T.~G.},
  title = 	 {Formulations for Surrogate-Based Optimization Under Uncertainty},
  booktitle = 	 {Proc. 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  year =	 2002,
  month =        {September 4--6,},
  number =       {AIAA-2002-5585},
  address =	 {Atlanta, GA}
}

@InProceedings{Eld04,
  author = 		 {Eldred, M.~S. and Giunta, A.~A. and Collis, S.~S.},
  title = 		 {Second-Order Corrections for Surrogate-Based Optimization with Model Hierarchies},
  booktitle =    {Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},
  year = 	     {2004},
  address = 	 {Albany, NY,},
  month = 	     {Aug. 30--Sept. 1,},
  note = 	     {AIAA Paper 2004-4457},
}

@Article{Eld05,
  author = {Eldred, M.~S. and Agarwal, H. and Perez, V.~M. and Wojtkiewicz, S.~F., Jr. and Renaud, J.~E.},
  title = {Investigation of Reliability Method Formulations in DAKOTA/UQ},
  journal = {Structure \& Infrastructure Engineering: Maintenance, Management, Life-Cycle Design \& Performance},
  volume = 3,
  number = 3,
  year = 2007,
  pages = {199--213}
}

@InProceedings{Eld06a,
  author = 	 {Eldred, M.~S. and Bichon, B.~J.},
  title = 	 {Second-Order Reliability Formulations in {DAKOTA/UQ}},
  booktitle = 	 {Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference},
  year =	 2006,
  month =        {May~1--4},
  number =       {AIAA-2006-1828},
  address =	 {Newport,~RI}
}

@InProceedings{Eld06b,
  author = 	 {Eldred, M.~S. and Dunlavy, D.~M.},
  title = 	 {Formulations for Surrogate-Based Optimization with Data Fit, Multifidelity, and Reduced-Order Models},
  booktitle = 	 {Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},
  year =	 2006,
  month =        {September~6--8},
  number =       {AIAA-2006-7117},
  address =	 {Portsmouth,~VA}
}

%Article{Eld06,
%  author = {Eldred, M.~S. and Bichon, B.~J.},
%  title = {New Second-Order Formulations for Reliability Analysis and Design},
%  journal = {AIAA J.}, 
%  volume = in preparation,
%  number = ,
%  year = ,
%  pages = {--}
%}
% number =       {AIAA-2006-1828},

@InProceedings{Eld07,
  author = 	 {Eldred, M.~S. and Webster, C.~G. and Constantine, P.},
  title = 	 {Evaluation of Non-Intrusive Approaches for Wiener-Askey 
Generalized Polynomial Chaos},
  booktitle = 	 {Proceedings of the 10th AIAA Non-Deterministic Approaches Conference},
  year =	 2008,
  month =        {April~7--10},
  number =       {AIAA-2008-1892},
  address =	 {Schaumburg,~IL}
}

@InProceedings{Eld09a,
  author = 	 {Eldred, M.~S. and Burkardt, J.},
  title = 	 {Comparison of Non-Intrusive Polynomial Chaos and Stochastic 
Collocation Methods for Uncertainty Quantification},
  booktitle = 	 {Proceedings of the 47th AIAA Aerospace Sciences Meeting and Exhibit},
  year =	 2009,
  month =        {January 5--8,},
  number =       {AIAA-2009-0976},
  address =	 {Orlando, FL}
}


@TechReport{Eld09b,
  author = {Eldred, M.~S and Swiler, L.~P.},
  title = {Efficient Algorithms for Mixed Aleatory-Epistemic Uncertainty Quantification with Application to Radiation-Hardened Electronics.  Part 1:  Algorithms and Benchmark Results},
  institution = {Sandia National Laboratories},
  number = {SAND2009-5805},
  year = {2009},
  address = {Albuquerque, NM}
}

@Article{Eld11,
  author = {Eldred, M.~S. and Swiler, L.~P. and Tang, G},
  title = {Mixed Aleatory-Epistemic Uncertainty Quantification with Stochastic Expansions and Optimization-Based Interval Estimation},
  journal = {Reliability Engineering and System Safety},
  year =         2011,
  volume =	 96,
  number =       9,
  pages =	 {1092--1113}
}

@string{DakotaAuthorCitation =  
"Adams, B.~M. and Bauman, L.~E. and Bohnhoff, W.~J. and Dalbey,
K.~R. and Eddy, J.~P. and Ebeida, M.~S. and Eldred, M.~S. and Hough,
P.~D. and Hu, K.~T. and Jakeman, J.~D. and Swiler, L.~P. and Vigil,
D.~M."
}

%17
@TechReport{UserMan,
  author = 	 DakotaAuthorCitation,
  title = 	 {Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 5.4 User's Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2010-2183},
  year = 	 {Updated Jan. 2013},
  address =	 {Albuquerque, NM},
  note =         {Available online from \url{http://dakota.sandia.gov/documentation.html}}
}

@TechReport{RefMan,
  author = 	 DakotaAuthorCitation,
  title = 	 {Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 5.4 Reference Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2010-2184},
  year = 	 {Updated Dec. 2013},
  address =	 {Albuquerque, NM},
  note =         {Available online from \url{http://dakota.sandia.gov/documentation.html}}
}

%18
@TechReport{DevMan,
  author = 	 DakotaAuthorCitation,
  title = 	 {Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 5.4 Developers Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2010-2185},
  year = 	 {Updated Jan. 2013},
  address =	 {Albuquerque, NM},
  note =         {Available online from \url{http://dakota.sandia.gov/documentation.html}}
}

@Article{Fad90,
  author = {Fadel, G.~M. and Riley, M.~F. and Barthelemy, J.-F.~M.},
  title = {Two Point Exponential Approximation Method for Structural Optimization},
  journal = {Structural Optimization},
  volume = 2,
  number = 2,
  year = 1990,
  pages = {117--124}
}

%26
@Unpublished{Fla,
  author = {Flaggs, D.},
  title = {{JPrePost} User's Manual},
  note = {In preparation}
}

@Article{Fle02,
  author = 	{Fletcher, R. and Leyffer, S. and Toint, P.~L.},
  title = 	{On the Global Convergence of a Filter-{SQP} Algorithm},
  journal = 	{SIAM J. Optim.},
  year = 	{2002},
  volume = 	{13},
  number = 	{1},
  pages = 	{44--59},
}

@Book{Fou03,
  author = {Fourer, R. and Gay, D.~M. and Kernighan, B.~W.},
  title = {AMPL: A Modeling Language for Mathematical Programming, 2nd ed.},
  publisher = {Duxbury Press/Brooks/Cole Publishing Co.},
  address = {Pacific Grove, CA},
  year = 2003,
  note = {For small examples, e.g., at most 300 variables, a student version of AMPL
suffices; see \texttt{http://www.ampl.com/DOWNLOADS}.}
}

%27
@Article{Fri91,
  author = {Friedman, J.~H.},
  title = {Multivariate Adaptive Regression Splines},
  journal = {Annals of Statistics},
  volume = 19,
  number = 1,
  month = {March},
  year = 1991,
  pages = {1--141}
}

@misc{Fu05,
  author = {Fukuda, K.},
  title = {cddlib Reference Manual},
  howpublished = {Web site},
  year = {2005},
  note = {\url{ftp://ftp.ifor.math.ethz.ch/pub/fukuda/cdd/cddlibman/cddlibman.html}}
}

@TechReport{Gab01,
  author = {Gablonsky, J.},
  title = {DIRECT version 2.0 Userguide Technical Report},
  institution =  {North Carolina State University, Center for Research in Scientific Computation},
  number =       {CRSC-TR01-08},
  year = 	 2001,
  address =	 {Raleigh, NC}
}

%28
@Book{Gam95,
  author = {Gamma, E. and Helm, R. and Johnson, R. and Vlissides, J.},
  title = {Design Patterns: Elements of Reusable Object-Oriented  Software},
  publisher = {Addison-Wesley},
  address = {Reading, MA},
  year = 1995
}

@Book{gautschi_book,
  author =	 {Gautschi, W.},
  title = 	 {Orthogonal Polynomials: Computation and Approximation},
  publisher = 	 {Oxford University Press},
  address =      {New York},
  year = 	 2004
}

@TechReport{Gay97,
  author = 	 {Gay, D.~M.},
  title = 	 {Hooking Your Solver to {AMPL}},
  institution =  {Bell Laboratories},
  number =       {Technical Report 97-4-06},
  year = 	 1997,
  address =	 {Murray Hill, NJ},
  note =	{Available online as \url{http://www.ampl.com/REFS/HOOKING/index.html}
and \url{http://www.ampl.com/REFS/hooking2.pdf} .}
}

@Article {Gerstner_Griebel_2003,
    AUTHOR = {Gerstner, T. and Griebel, M.},
     TITLE = {Dimension-adaptive tensor-product quadrature},
   JOURNAL = {Computing},
  FJOURNAL = {Computing. Archives for Scientific Computing},
    VOLUME = 71,
      YEAR = 2003,
    NUMBER = 1,
     PAGES = {65--87},
      ISSN = {0010-485X},
     CODEN = {CMPTA2},
   MRCLASS = {65D30},
  MRNUMBER = {MR2009651 (2004k:65036)},
MRREVIEWER = {Marc Prevost},
}

%30
@Book{Gha91,
  author = {Ghanem, R.~G. and Spanos, P.~D.},
  title = {Stochastic Finite Elements: A Spectral Approach},
  publisher = {Springer-Verlag},
  address = {New York},
  year = 1991
}

%29
@Article{Gha99,
  author = {Ghanem, R. and Red-Horse, J.~R.},
  title = {Propagation of Probabilistic Uncertainty in Complex Physical Systems using a Stochastic Finite Element Technique},
  journal = {Physica D},
  volume = 133,
  year = 1999,
  pages = {137-144}
}

%32
@Book{Gil81,
  author = {Gill, P.~E. and Murray, W. and Wright, M.~H.},
  title = {Practical Optimization},
  publisher = {Academic Press},
  address = {San Diego, CA},
  year = 1981
}

%31
@TechReport{Gil86,
  author = {Gill, P.~E. and Murray, W. and Saunders, M.~A. and Wright, M.~H.},
  title = {User's Guide for {NPSOL (Version 4.0)}: A {Fortran} Package for Nonlinear Programming},
  institution = {System Optimization Laboratory, Stanford University},
  number = {TR SOL-86-2},
  address = {Stanford, CA},
  year = 1986
}

%33
@Book{Gil92,
  author = {Gilly, D.},
  title = {{UNIX} in a Nutshell},
  publisher = {O'Reilly and Associates, Inc.},
  address = {Sebastopol, CA},
  year = 1992
}

%36
@InProceedings{Giu98,
  author = {Giunta, A.~A. and Watson, L.~T.},
  title = {A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models},
  number = {AIAA-98-4758},
  booktitle = {Proc. 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {St. Louis, MO},
  year = 1998,
  pages = {392--404}
}

%35
@InProceedings{Giu00,
  author = 	 {Giunta, A.~A. and Eldred, M.~S.},
  title = 	 {Implementation of a Trust Region Model Management Strategy in the {DAKOTA} Optimization Toolkit},
  booktitle = 	 {Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  year =	 2000,
  month =        {September 6--8,},
  number =       {AIAA-2000-4935},
  address =	 {Long Beach, CA}
}

%34
@InProceedings{Giu02,
  author = {Giunta, A.~A.},
  title = {Use of Data Sampling, Surrogate Models, and Numerical Optimization in Engineering Design},
  number = {AIAA-2002-0538},
  booktitle = {Proc. 40th AIAA Aerospace Science Meeting and Exhibit},
  address = {Reno, NV},
  month = {January},
  year = 2002
}

@article{Giu06,
  author = {Giunta, A.~A. and McFarland, J.~M. and Swiler, L.~P. and Eldred, M.~S.},
  title = {The Promise and Peril of Uncertainty Quantification using Respone Surface Approximations},
  journal = {Structure and Infrastructure Engineering},
  month = {September-December},
  year = {2006},
  volume = {2},
  number = {3-4},
  pages = {175-189}
}

@incollection{Gne07,
  title={Geostatistical space-time models, stationarity, separability and full symmetry},
  author={Gneiting, T. and Genton, M.G. and Guttorp, P.},  
  year={2007},
  booktitle={Statistical Methods for Spatio-Temporal Systems},
  editor={Finkenstadt, B. and Held, L. and Isham, V.},
  chapter={4},
  pages={151-172},
  publisher={Boca Raton: Chapman \& Hall/CRC},
}


%37
@Book{Gol89,
  author = {Goldberg, D.~E.},
  title = {Genetic Algorithms in Search, Optimization, and Machine Learning},
  publisher = {Addison-Wessley Publishing Co., Inc.},
  address = {Reading, MA},
  year = 1989
}

@Article{GolubWelsch69,
  author = 	 {Golub, G.~H.. and Welsch, J.~H.},
  title = 	 {Caclulation of Gauss Quadrature Rules},
  journal = 	 {Mathematics of Computation},
  year = 	 1969,
  volume =	 23,
  number =       106,
  pages =	 {221--230}
}

@article{GrKo06,
  author = {Gray, G.~A. and Kolda, T.~G.},
  title = {Algorithm 856: {APPSPACK} 4.0: Asynchronous Parallel
                  Pattern Search for Derivative-Free Optimization},
  journal = {ACM Transactions on Mathematical Software},
  month = {September},
  year = {2006},
  volume = {32},
  number = {3},
  pages = {485--507}
}

@TechReport{GrKo07,
  author = {Griffin, J.~D and Kolda, T.~G.},
  title = {Nonlinearly-Constrained Optimization Using Asynchronous
                  Parallel Generating Set Search},
  institution = {Sandia National Laboratories},
  number = {SAND2007-3257},
  year = {2007},
  address = {Livermore, CA}
}

@article{GrKoLe08,
  author = {Griffin, J.~D. and Kolda, T.~G. and Lewis, R.~M.},
  title = {Asynchronous Parallel Generating Set Search For
                  Linearly-Constrained Optimization},
  journal = {SIAM Journal on Scientific Computing},
  month = {May},
  year = {2008},
  volume = {30},
  number = {4},
  pages = {1892--1924}
}

%39
@Book{Gro94,
  author = {Gropp, W. and Lusk, E. and Skjellum, A.},
  title = {Using {MPI}, Portable Parallel Programing with the Message-Passing Interface},
  publisher = {The MIT Press},
  address = {Cambridge, MA},
  year = 1994
}

%38
@TechReport{Gro96,
  author = {Gropp, W. and Lusk, E.},
  title = {User's Guide for mpich, a Portable Implementation of {MPI}},
  institution = {Argonne National Laboratory, Mathematics and Computer Science Division},
  number = {ANL/MCS-TM-ANL-96/6},
  year = 1996
}

%40
@Book{Haf92,
  author = {Haftka, R.~T. and Gurdal, Z.},
  title = {Elements of Structural Optimization},
  publisher = {Kluwer},
  address = {Boston},
  year = 1992
}

%41
@Book{Hal00,
  author =	 {Haldar, A. and Mahadevan, S.},
  title = 	 {Probability, Reliability, and Statistical Methods in Engineering Design},
  publisher = 	 {Wiley},
  address =      {New York},
  year = 	 2000
}

%42
%TechReport{Har06,
%  author = {Hart, W.~E.},
%  title = {Coliny Users Manual: {Version 2.0}},
%  institution =  {Sandia National Laboratories},
%  number =       {SAND2006-xxxx},
%  year = 	 2006,
%  address =	 {Albuquerque, NM},
%  note = {Available online from \url{http://software.sandia.gov/Acro/Coliny/}}
%}
@misc{Har06,
  author = {Hart, W.~E.},
  title = {The Coliny Project},
  howpublished = {Web site},
  year = 2007,
  note = {\url{http://software.sandia.gov/Acro/Coliny/}}
}

@Book{Hed99,
  author = {Hedayat, A.~S. and Sloane, N.~J.~A. and Stufken, J.},
  title = {Orthogonal Arrays:  Theory and Applications},
  publisher = 	 {Springer-Verlag},
  address =      {New York},
  year = 	 1999
}


%43
@TechReport{Hel00,
  author = {Helton, J.~C. and Davis, F.~J.},
  title = {Sampling-Based Methods for Uncertainty and Sensitivity Analysis},
  institution =  {Sandia National Laboratories},
  number =       {SAND99-2240},
  year = 	 2000,
  address =	 {Albuquerque, NM}
}

@Article{Hel07,
  author = {Helton, J.~C. and Johnson, J.~D. and Oberkampf, W.~L. and Storlie, C.~B},
  title = {A Sampling-based Computational Strategy for the Representation of Epistemic Uncertainty in Model Predictions with Evidence Theory},
  journal = {Comp. Methods in Applied Mechanics and Engineering},
  volume = 196,
  year = 2007,
  pages = {3980-3998}
}

@Article{Hig08,
  author = 	 {Higdon, D. and Gattiker, J. and Williams, B. and Rightley, M.},
  title = 	 {Computer Model Calibration Using High-Dimensional Output},
  journal = 	 {Journal of the American Statistical Association},
  year = 	 2008,
  volume =	 103,
  number =       482, 
  pages =	 {570--583}}
}

@Article{Higham04,
  author = 	 {Higham, N.~J.},
  title = 	 {The numerical stability of barycentric Lagrange interpolation},
  journal = 	 {IMA Journal of Numerical Analysis},
  year = 	 2004,
  volume =	 24,
  number =       4,
  pages =	 {547--556}}
}

@Article{Hoh88,
  author = {Hohenbichler, M. and Rackwitz, R.},
  title = {Improvement of second-order reliability estimates by importance sampling},
  journal = {J. Eng. Mech., ASCE},
  volume = 114,
  number = 12,
  year = 1988,
  pages = {2195--2199}
}

@Article{Hoh86,
  author = 	 {Hohenbichler, M. and Rackwitz, R.},
  title = 	 {Sensitivity and Importance Measures in Structural Reliability},
  journal = 	 {Civil Eng. Syst.},
  year = 	 1986,
  volume =	 3,
  pages =	 {203--209}
}

@Article{Hon99,
  author = {Hong, H.P.},
  title = {Simple Approximations for Improving Second-Order Reliability Estimates},
  journal = {J. Eng. Mech., ASCE},
  volume = 125,
  number = 5,
  year = 1999,
  pages = {592--595}
}

@InProceedings{pt_colloc2,
  author = 	 {Hosder, S. and Walters, R.~W. and Balch, M.},
  title = 	 {Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables},
  booktitle = 	 {Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  year =	 2007,
  month =        {April 23--26,},
  number =       {AIAA-2007-1939},
  address =	 {Honolulu, HI}
}

%44
@Article{Hua06,
  author = 	 {Huang, D. and Allen, T.~T. and Notz, W.~I. and Zeng, N.},
  title = 	 {Global Optimization of Stochastic Black-Box Systems via Sequential Kriging Meta-Models}, 
  journal = 	 {Journal of Global Optimization},
  year = 	 2006,
  volume =	 34,
  pages =	 {441--466}
}

%45
@TechReport{Ima84,
  author = {Iman, R.~L. and Shortencarier, M.~J},
  title = {A {Fortran 77} Program and User's Guide for the Generation of Latin Hypercube Samples for Use with Computer Models},
  institution =  {Sandia National Laboratories},
  number =       {NUREG/CR-3624, SAND83-2365},
  year = 	 1984,
  address =	 {Albuquerque, NM}
}

@Article{Jon98,
  author = 	 {Jones, D. and Schonlau, M. and Welch, W.},
  title = 	 {Efficient Global Optimization of Expensive Black-Box Functions},
  journal = 	 {Journal of Global Optimization},
  year = 	 1998,
  volume =	 13,
  pages =	 {455--492}
}

@Article{Kar92,
  author = 	 {Karamchandani, A. and Cornell, C.~A.},
  title = 	 {Sensitivity Estimation within First and Second Order Reliability Methods},
  journal = 	 {Struct. Saf.},
  year = 	 1992,
  volume =	 11,
  pages =	 {95--107}
}

@Article{Kenn01,
  author = 	 {Kennedy, M.~C. and O'Hagan, A.},
  title = 	 {Bayesian Calibration of Computer Models},
  journal = 	 {Journal of the Royal Statistical Society},
  year = 	 2001,
  volume =	 63,
  pages =	 {425--464}
}

%46
@Book{Ker88,
  author = {Kernighan, B.~W. and Ritchie, D.~M.},
  title = {The C Programming Language},
  edition = {2nd},
  publisher = {Prentice Hall PTR},
  address = {Englewood Cliffs, NJ},
  year = 1988
}

@PhdThesis{Klimke05,
  author = {Klimke, W.~A.},
  title = {Uncertainty Modeling using Fuzzy Arithmetic and Sparse Grids},
  school = {Universit\"{a}t Stuttgart},
  address = {Stuttgart, Germany},
  year =  2005
}

%47
@InCollection{Koe96,
  author = {Koehler, J.~R. and Owen, A.~B.},
  title= {Computer Experiments},
  volume = 13,
  booktitle = {Handbook of Statistics},
  editor = {Ghosh, S. and Rao, C.~R.},
  publisher = {Elsevier Science},
  address = {New York},
  year = 1996
}

@Article{Kus97,
  author = {Kuschel, N. and Rackwitz, R.},
  title = {Two Basic Problems in Reliability-Based Structural Optimization},
  journal = {Math. Method Oper. Res.},
  volume = 46,
  year = 1997,
  pages = {309--333}
}

@Article{Lat00,
  author = 	{Lathauwer, L.~D. and Moor, B.~D. and Vandewalle, J.},
  title = 	{A Multilinear Singular Value Decomposition},
  journal = 	{SIAM Journal on Matrix Analysis and Applications},
  year = 	{2000},
  volume = 	{21},
  number = 	{4},
  pages = 	{1253--1278},
}

@Book{Law74,
  author = 	{Lawson, C.~L. and Hanson, R.~J.},
  title = 	{Solving Least Squares Problems},
  publisher = 	{Prentice--Hall},
  year = 	{1974},
  OPTaddress = 	 {},
}

%48
@TechReport{Lew00,
  author = {Lewis, R.~M. and Nash, S.~N.},
  title = {A Multigrid Approach to the Optimization of Systems Governed by Differential Equations},
  institution = {AIAA},
  number = {AIAA-2000-4890},
  year = 2000
}

@techreport{Luc04,
  title={LAPACK-style codes for level 2 and 3 pivoted Cholesky factorizations},
  author={Lucas, C.},
  institution={Manchester Centre for Computational Mathematics},
  type={Numerical Analysis Reports},
  number={442},
  address={Manchester, England},
  note={LAPACK Working Note 161},
  month={February},
  year={2004}
}


@Book{Mar03,
  author = {Martelli, A.},
  title = {Python in a Nutshell},
  publisher = {O'Reilly and Associates},
  address = {Cambridge, MA},
  year = 2003,
}

@article{Mar09,
  title={Computational Improvements to Estimating Kriging Metamodel Parameters},
  author={Martin, J.D.},
  journal={Journal of Mechanical Design},
  volume={131},
  pages={084501},
  year={2009}
}

@book{Mat71,
  title={The theory of regionalized variables and its applications},
  author={Matheron, G.},
  series={Les Cahiers du Centre de morphologie math{\'e}matique de Fontainebleau},
  url={http://books.google.com/books?id=TGhGAAAAYAAJ},
  year={1971},
  publisher={{\'E}cole national sup{\'e}rieure des mines}
}

@PhdThesis{McF08,
  author = 	{J.~M. McFarland},
  title = {Uncertainty Analysis for Computer Simulations through Validation and Calibration},	
  school = 	{Vanderbilt University},
  year = 	{2008},
  address = 	{Nashville, Tennesssee},
  note = {available for download at http://etd.library.vanderbilt.edu/ETD-db/available/etd-03282008-125137/}
}

%49
@Article{Mck79,
  author = {McKay, M.~D. and Beckman, R.~J. and Conover, W.~J.},
  title = {A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code},
  journal = {Technometrics},
  volume = 21,
  number = 2,
  year = 1979,
  pages = {239--245}
}

%50
@Article{MeOlHoWi07,
  author = {Meza, J.~C. and Oliva, R.~A. and Hough, P.~D. and Williams, P.~J.},
  title = {{OPT++:} An Object Oriented Toolkit for Nonlinear Optimization},
  journal = {ACM Transactions on Mathematical Software},
  volume = {33},
  number = {2},
  year = {2007}
}

%51
@TechReport{Mez95,
  author = {Meza, J.~C. and Plantenga, T.~D.},
  title = {Optimal Control of a CVD Reactor for Prescribed Temperature Behavior},
  number = {SAND95-8224},
  institution = {Sandia National Laboratories},
  address = {Livermore, CA},
  year = 1995
}

%52
@TechReport{Moe95,
  author = {Moen, C.~D. and Spence, P.~A. and Meza, J.~C},
  title = {Optimal Heat Transfer Design of Chemical Vapor Deposition Reactors},
  number = {SAND95-8223},
  institution = {Sandia National Laboratories},
  address = {Livermore, CA},
  year = 1995
}

%53
@InProceedings{Moe96,
  author = {Moen, C.~D. and Spence, P.~A. and Meza, J.~C. and Plantenga, T.~D.},
  title = {Automatic Differentiation for Gradient-Based Optimization of Radiatively Heated Microelectronics Manufacturing Equipment},
  number = {AIAA-96-4118},
  booktitle = {Proc. 6th  AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Bellevue, WA},
  year = 1996,
  pages = {1167--1175}
}.

@Article{Mor91,
  author = {Morris, M.~D.},
  title = {Factorial sampling plans for preliminary computational experiments},
  journal = {Technometrics},
  volume = 33,
  number = 2,
  year = 1991,
  pages = {161--174}
}

%54
@Book{Mye95,
  author = {Myers, R.~H. and Montgomery, D.~C.},
  title = {Response Surface Methodology: Process and Product Optimization Using Designed  Experiments},
  publisher = {John Wiley \& Sons, Inc.},
  address = {New York},
  year = 1995
}

@InProceedings{NgEldred2012,
  author = 	{Ng, L.~W.~T. and Eldred, M.~S.},
  title = 	{Multifidelity Uncertainty Quantification Using Nonintrusive Polynomial Chaos and Stochastic Collocation},
  booktitle =   {Proceedings of the 14th AIAA Non-Deterministic Approaches Conference},
  number =      {AIAA-2012-1852},
  year = 	{2012},
  month = 	{April 23-26,},
  address = 	{Honolulu, HI},
}

@TechReport{Plantenga2009,
  author = 	 {Plantenga, T.~D.},
  title = 	 {HOPSPACK 2.0 User Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2009-6265},
  year = 	 2009
}

@article{Ren09,
  title={Subset selection from large datasets for Kriging modeling},
  author={Rennen, G.},
  journal={Structural and Multidisciplinary Optimization},
  volume={38},
  number={6},
  pages={545--569},
  year={2009},
  publisher={Springer}
}

@TechReport{webster1,
  author = 	 {Nobile, F. and Tempone, R. and Webster, C.~G.},
  title = 	 {A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data},
  institution =  {Royal Institute of Technology},
  number =       {Technical report TRITA-NA 2007:7},
  year = 	 2007,
  address =	 {Stockholm, Sweden},
}

@Article{webster2,
  author = {Nobile, F. and Tempone, R. and Webster, C.~G.},
  title = {An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data},
  journal = {SIAM J. on Num. Anal.},
  volume = 46,
  number = 5,
  year = 2008,
  pages = {2411--2442}
}

@article{gerstner_griebel_98,
	AUTHOR = {Gerstner, T. and Griebel, M.},
	FJOURNAL = {Numerical Algorithms},
	ISSN = {1017-1398},
	JOURNAL = {Numer. Algorithms},
	MRCLASS = {65D30},
 	MRNUMBER = {MR1669959 (99m:65042)},
	MRREVIEWER = {C. Dagnino},
	NUMBER = {3-4},
	PAGES = {209--232},
         TITLE = {Numerical integration using sparse grids},
  	VOLUME = {18},
   	YEAR = {1998}}

@article{was_woz,
	Author = {G. W. Wasilkowski and H. Wo\'zniakowski},
	Date-Added = {2006-03-23 10:09:10 -0500},
	Date-Modified = {2006-03-23 10:14:37 -0500},
	Journal = {Journal of Complexity},
	Local-Url = {file://localhost/Users/webster/Documents/phd_research/papers_talks/smolyak_papers/wasilkowski_93.pdf},
	Pages = {1-56},
	Title = {Explicit Cost Bounds of Algorithms for Multivariate Tensor Product Problems},
	Volume = {11},
	Year = {1995}}

@article{barth_novak_ritter_00,
	Author = {Barthelmann, V. and Novak, E. and Ritter, K.},
	Fjournal = {Advances in Computational Mathematics},
	Issn = {1019-7168},
	Journal = {Adv. Comput. Math.},
	Mrclass = {41A63 (41A05 65D05)},
	Mrnumber = {MR1768951 (2001d:41033)},
	Mrreviewer = {Timothy S. Norfolk},
	Note = {Multivariate polynomial interpolation},
	Number = 4,
	Pages = {273--288},
	Title = {High dimensional polynomial interpolation on sparse grids},
	Volume = 12,
	Year = 2000}

@Article{Smolyak_63,
  author = 	 {Smolyak, S.A.},
  title = 	 {Quadrature and interpolation formulas for tensor products of certain classes of functions},
  journal = 	 {Dokl. Akad. Nauk SSSR},
  year = 	 1963,
  volume =	 4,
  pages =	 {240--243}
}

@article{Fran_Schwab_Todor_04,
	Author = {Frauenfelder, P. and Schwab, C. and Todor, R. A.},
	Coden = {CMMECC},
	Fjournal = {Computer Methods in Applied Mechanics and Engineering},
	Issn = {0045-7825},
	Journal = {Comput. Methods Appl. Mech. Engrg.},
	Mrclass = {65N30 (60H15 60H35)},
	Mrnumber = {MR2105161 (2005i:65186)},
	Number = {2-5},
	Pages = {205--228},
	Title = {Finite elements for elliptic problems with stochastic coefficients},
	Volume = {194},
	Year = {2005}}

@article {Xiu_Hesthaven_05,
    AUTHOR = {Xiu, D. and Hesthaven, J.S.},
     TITLE = {High-order collocation methods for differential equations with
              random inputs},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = 27,
      YEAR = 2005,
    NUMBER = 3,
     PAGES = {1118--1139 (electronic)},
      ISSN = {1064-8275},
   MRCLASS = {65C30},
  MRNUMBER = {MR2199923 (2006i:65010)},
}

@TechReport{Nea04,
  author = 	{Nealen, A.},
  title = 	{A Short-As-Possible Introduction to the Least Squares, Weighted Least Squares, and Moving Least Squares Methods for Scattered Data Approximation and Interpolation},
  institution = {Discrete Geometric Modeling Group, Technishe Universitaet},
  address = {Berlin, Germany},
  year = 	{2004}
}

%55
@Book{Noc99,
  author = {Nocedal, J. and Wright S.~J.},
  title = {Numerical Optimization},
  series = {Springer Series in Operations Research},
  publisher = {Springer},
  address = {New York},
  year = 1999
}

%561
@TechReport{Obe03,
  author = {Oberkampf, W.~.L. and Helton, J.~C.},
  title = {Evidence Theory for Engineering Applications},
  number = {SAND2003-3559P},
  institution = {Sandia National Laboratories},
  address = {Albuquerque, NM},
  year = 2003
}

@PhdThesis{Omo89,
  author = 	{E.~O. Omojokun},
  title = 	{Trust Region Algorithms for Optimization with Nonlinear Equality and Inequality Constraints},
  school = 	{University of Colorado},
  year = 	{1989},
  address = 	{Boulder, Colorado},
}

@TechReport{Orr96,
  author = {Orr, M.~J.~L.},
  title = {Introduction to Radial Basis Function Networks},
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@Article{Owe92,
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@InProceedings{Per02,
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  booktitle =   {Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures,
Sttural Dynamics, and Materials Conference},
  year = 	{2002},
  address = 	{Denver, CO},
  month = 	{April 22-25,},
  note = 	{AIAA Paper 2002-1587},
}

@Article{Per04a,
  author = 	{P\'erez, V.~M. and Renaud, J.~E. and Watson, L.~T.},
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@InProceedings{Per04b,
  author = 	{P\'erez, V.~M. and Eldred, M.~S. and and Renaud, J.~E.},
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  year = 	{2004},
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  note = 	{AIAA Paper 2004-4312},
}

%56
@Article{Per93,
  author = {Perttunen, C.~D. and Jones, D.~R. and Stuckman, B.~E.},
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%57
@InProceedings{Pon96,
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@Article{Ran08,
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@Article{reagan_sens,
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%58
@InProceedings{Red98,
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@InProceedings{Rob06b,
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@Article{Rod98,
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%59
@Article{Ros52,
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%74
@Book{Sal04,
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@TechReport{Sch04,
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@Book{Sch87,
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%60
@TechReport{Sch95,
  author = {Schunk, P.~R. and Sackinger, P.~A. and Rao, R.~R. and Chen, K.~S. and Cairncross, R.~A.},
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@Book{Seb03,
  author = {Seber, G.~A.~F. and Wild, C.~J.},
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@Article{simpson_gw,
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%61
@TechReport{Sja92,
  author = {Sjaardema, G.~D.},
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  year = 	 1992,
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%62
@Book{Sni96,
  author = {Snir, M. and Otto, S. and Huss-Lederman, S. and Walker, D. and Dongarra, J.},
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@Article{spinterp,
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@Book{stroud,
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%63
@InProceedings{Sue01,
  author = {Sues, R. and Aminpour, M. and Shin, Y.},
  title = {Reliability-Based Multidisciplinary Optimization for Aerospace Systems},
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  booktitle = {Proc. 42rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  address = {Seattle, WA},
  month = {April 16-19},
  year = 2001
}

%71
@TechReport{Swi04,
  author = {Swiler, L.~P. and Wyss, G.~D.},
  title = {A User's Guide to {Sandia's} Latin Hypercube Sampling Software: {LHS UNIX} Library and Standalone Version},
  institution = {Sandia National Laboratories},
  number = {SAND04-2439},
  address = {Albuquerque, NM},
  month = {July},
  year = 2004
}

@InProceedings{Swi06,
  author = {Swiler, L.~P and Slepoy, R. and Giunta, A.~A.},
  title = {Evaluation of Sampling Methods in Constructing Response Surface Approximations},
  number = {AIAA-2006-1827},
  booktitle = {Proc. 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  address = {Newport, RI},
  month = {May 1-4},
  year = 2006
}


@InProceedings{Tang10a,
  author = 	{Tang, G. and Swiler, L.~P. and Eldred, M.~S},
  title = 	{Using Stochastic Expansion Methods in Evidence Theory for Mixed Aleatory-Epistemic Uncertainty Quantification},
  booktitle =   {Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (12th AIAA Non-Deterministic Approaches conference)},
  year = 	{2010},
  address = 	{Orlando, FL},
  month = 	{April 12-15,},
  note = 	{AIAA Paper 2010-XXXX},
}

@InProceedings{Tang10b,
  author = 	{Tang, G. and Iaccarino, G. and Eldred, M.~S},
  title = 	{Global Sensitivity Analysis for Stochastic Collocation Expansion},
  booktitle =   {Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (12th AIAA Non-Deterministic Approaches conference)},
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  note = 	{AIAA Paper 2010-XXXX},
}

@phdthesis{Tat95,
	Author = {Tatang, M.A.},
	School = {MIT},
	Title = {Direct incorporation of uncertainty in chemical and environmental engineering systems},
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%64
@TechReport{TonXX,
  author = {Tong, C.~H. and Meza, J.~C.},
  title = {{DDACE}: A Distributed Object-Oriented Software with Multiple Samplings for the Design and Analysis of Computer Experiments},
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  institution = {Sandia National Laboratories},
  address = {Livermore, CA},
  note = {Draft as yet unpublished, see also \url{http://csmr.ca.sandia.gov/projects/ddace/DDACEdoc/html/index.html}}
}

@misc{Ton05,
  author = {Tong, C.~H.},
  title = {The PSUADE Software Library},
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@Article{Tu99,
  author = {Tu, J. and Choi, K.~K. and Park, Y.~H.},
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@Article{Tve90,
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%65
@TechReport{Van78,
  author = {Vanderplaats, G.~N.},
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%66
@Book{Van84,
  author = {Vanderplaats, G.~N.},
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%67
@Manual{Van95,
  title = {{DOT} Users Manual, {Version 4.20}},
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@article{Van69,
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@Article{Vug07,
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%68
@Book{Wal96,
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@InProceedings{pt_colloc1,
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  number =       {AIAA-2003-0413},
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%69
@Misc{WalXX,
  author = {Walton, B.},
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%70
@InProceedings{Wu01,
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@Article{xiu_cubature,
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@Article{Xu98,
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%72
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@InProceedings{Zou04,
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@Article{Zou02,
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@article{GilMS05,
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@article{Rosenbrock60,
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@article{Doostan2011,
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url = {http://www.sciencedirect.com/science/article/pii/S0021999111000106},
author = {Doostan,A . and Owhadi, H.},
keywords = {Polynomial chaos},
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keywords = {Compressive sampling},
keywords = {Sparse approximation}
}

@article{Blatman2011,
title = {Adaptive sparse polynomial chaos expansion based on least angle regression},
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keywords = {Sensitivity analysis},
keywords = {Response surfaces}
}

@ARTICLE{Donoho2008,
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volume={54},
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keywords={Homotopy method;communication system;error-correcting codes;incoherent matrices;information transmission;iterative method;least angle regression;linear equation;lscr1-norm minimization problem;orthogonal matching pursuit;partial orthogonal matrices;signal processing;sparsity-seeking property;underdetermined system;uniform spherical matrices;iterative methods;least squares approximations;matrix algebra;minimisation;regression analysis;signal processing;},
doi={10.1109/TIT.2008.929958},
ISSN={0018-9448},
}

@ARTICLE{Efron2004,
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@article {Davis1997,
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@ARTICLE{Chen2001,
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 title = {Atomic Decomposition by Basis Pursuit},
 journal = {SIAM Rev.},
 issue_date = {2001},
 volume = {43},
 number = {1},
 month = jan,
 year = {2001},
 issn = {0036-1445},
 pages = {129--159},
 numpages = {31},
 url = {http://dx.doi.org/10.1137/S003614450037906X},
 doi = {10.1137/S003614450037906X},
 acmid = {588850},
 publisher = {Society for Industrial and Applied Mathematics},
 address = {Philadelphia, PA, USA},
 keywords = {$\ell^1$ norm optimization, MATLAB code, cosine packets, denoising, interior-point methods for linear programming, matching pursuit, multiscale edges, overcomplete signal representation, time-frequency analysis, time-scale analysis, total variation denoising, wavelet packets, wavelets},
}

@book{Boyd2004,
    abstract = {{Convex optimization problems arise frequently in many different fields. A comprehensive introduction to the subject, this book shows in detail how such problems can be solved numerically with great efficiency. The focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. The text contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance, and economics.}},
    author = {Boyd, S. and Vandenberghe, L.},
    comment = {Code, PDF here: http://www.stanford.edu/\~{}boyd/cvxbook/},
    day = {08},
    howpublished = {Hardcover},
    isbn = {0521833787},
    keywords = {machine\_learning},
    month = mar,
    posted-at = {2008-03-13 01:30:18},
    priority = {2},
    publisher = {Cambridge University Press},
    title = {{Convex Optimization}},
    url = {http://www.worldcat.org/isbn/0521833787},
    year = {2004}
}

@article{Osborne2000,
author = {Osborne, M.R. and Presnell, B. and Turlach, B.A.}, 
title = {A new approach to variable selection in least squares problems},
volume = {20}, 
number = {3}, 
pages = {389-403}, 
year = {2000}, 
doi = {10.1093/imanum/20.3.389}, 
URL = {http://imajna.oxfordjournals.org/content/20/3/389.abstract}, 
journal = {IMA Journal of Numerical Analysis} 
}

@ARTICLE{Tibshirani1996,
    author = {Robert Tibshirani},
    title = {Regression Shrinkage and Selection Via the Lasso},
    journal = {Journal of the Royal Statistical Society, Series B},
    year = {1996},
    volume = {58},
    pages = {267--288}
}

@article {Zou2005,
author = {Zou, Hui and Hastie, Trevor},
title = {Regularization and variable selection via the elastic net},
journal = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
volume = {67},
number = {2},
publisher = {Blackwell Publishing Ltd},
issn = {1467-9868},
url = {http://dx.doi.org/10.1111/j.1467-9868.2005.00503.x},
doi = {10.1111/j.1467-9868.2005.00503.x},
pages = {301--320},
keywords = {Grouping effect, LARS algorithm, Lasso, Penalization, p≫n problem, Variable selection},
year = {2005},
}

@BOOK{hastie2001,
  AUTHOR = {Hastie, T. and Tibshirani, R. and Friedman, J.H.},
  TITLE = {The elements of statistical learning: data mining, inference, and prediction: with 200 full-color illustrations},
  YEAR = {2001},
  PAGES = {533},
  PUBLISHER = {New York: Springer-Verlag}
}

@article{narayan12,
  author    = {Narayan, A. and Xiu, D.},
  title     = {Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation},
  journal   = {SIAM J. Scientific Computing},
  volume    = {34},
  number    = {3},
  year      = {2012},
  ee        = {http://dx.doi.org/10.1137/110854059},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}